MATH 112 Introduction to Linear Algebra Units: 3.00
A brief introduction to matrix algebra, linear algebra, and applications. Topics include systems of linear equations, matrix algebra, determinants, the vector spaces Rn and their subspaces, bases, co-ordinates, orthogonalization, linear transformations, eigenvectors, diagonalization of symmetric matrices, quadratic forms.
Learning Hours: 120 (36 Lecture, 84 Private Study)
Requirements: Prerequisite None.
Recommended At least one 4U Mathematics course.
Exclusion MATH 110/6.0; MATH 111/6.0*.
Course Equivalencies: MATH 110B/112 / APSC 174
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Apply the above skills to complex problems (e.g., error correcting codes, dynamical systems, games on graphs and probability).
- Compute eigenvalues and eigenvectors and understand their utility.
- Manipulate matrix equations and compute their determinants and inverses.
- Solve systems of linear equations and visualize the related geometry.
- Visualize and express algebraically the geometry of lines and planes.
- Work with linear and affine transformations and relate them to matrices.